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Simplifying (w + -9)(w + 7) = 0 Reorder the terms: (-9 + w)(w + 7) = 0 Reorder the terms: (-9 + w)(7 + w) = 0 Multiply (-9 + w) * (7 + w) (-9(7 + w) + w(7 + w)) = 0 ((7 * -9 + w * -9) + w(7 + w)) = 0 ((-63 + -9w) + w(7 + w)) = 0 (-63 + -9w + (7 * w + w * w)) = 0 (-63 + -9w + (7w + w2)) = 0 Combine like terms: -9w + 7w = -2w (-63 + -2w + w2) = 0 Solving -63 + -2w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-7 + -1w)(9 + -1w) = 0Subproblem 1
Set the factor '(-7 + -1w)' equal to zero and attempt to solve: Simplifying -7 + -1w = 0 Solving -7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = 0 + 7 -1w = 0 + 7 Combine like terms: 0 + 7 = 7 -1w = 7 Divide each side by '-1'. w = -7 Simplifying w = -7Subproblem 2
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Solution
w = {-7, 9}
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